6. Find the derivatives of each function. a)f(x) = 3x4 – 4x² – 250 %3D b) g(x) = x/2 – x-1/2 %3D sin x c) h(x) = 3 cos x %3D -

Q: 1 FIND THE DERIVATIVE OF EACH FUNCT'ON. 1.) y= sin () a.) y= Tan( 3x) 3.) y= Cos( 3

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: b) Find the derivatives of the following functions: (i) 3x+4 y = tan x+5 (ii) y = e* -cos3x + x log.…

A: Derivatives

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Q: Find the derivatives of the functions  1. y = x2 cot 5x    2. y = x-2 sin 2(x 3)

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: (a)Deduce the 1$, 20d and 3rd derivatives of y = cos²x.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: 7. Compute the derivative of y = tan-(Kr) 1. at the point r = K

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Q: Find the derivatives of the function defined as follows.

A: Differentiation of the given function can be done with the help of differentiation formulas.…

Q: Find the derivatives of the functions in Exercise . y = (1 + x2) e^tan-1 x

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Q: 1. Find the derivatives of the given functions. a. y= arccos(x b. y = In (arctan x) c. y= csc (2u+1)…

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Q: b)Find the derivative of the function x cos (2x + 3y) = y sin x

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Q: Derive the formula dy/dx= 1/ (1 + x2) for the derivative of y = tan-1 x by differentiating both…

A: Given,

Q: cos (5x-0.1) w(x) =- e*

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Q: Q2) Apply the differentiation rules to find the derivatives of: Inx 5 (a) y=x*.e*+2- Inx- cosx (b)…

A: Solve the following

Q: Find the derivatives of the function defined as follows.

A: Consider the given function y=cos xcos 4x   Apply the chain rule: ddxy=ddxcos xcos 4xy'=12cos xcos…

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Q: 22. Find the required derivatives. a) y = (4x3 - 2x + 1)-2; find y b) x = Vy? + 1;find x"

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Q: Find the 25th derivative of g (0) = cos(40 + a) where a is a real valued constant.

A: The given function is: g(θ)=cos(4θ+α)

Q: Find the derivatives of the function defined as follows.

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Q: Suppose that x and y are related by the given equation and use implicit differentiation to determine…

A: →duvdx = udvdx + vdudx→dkdx = 0  where, 'k' is any constant.

Q: ) .3 Find the derivative of h(x) = cos (2x – 5 %3D

A: Given,            hx=cos42x3-5To find : The derivative of the given function.

Q: 6. Find the derivative of function. a) y = (x - 1)ā + 2x2-4x+7 b) y = cos* 3x * arcsin 3x2 |3D 3 c)…

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Q: 4. Find the derivative of the functions. (2x2-3) a. y = (x247)5 sin x b. y = 1+cosx

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Q: Find the derivatives of the functions y = θ3e-2θ cos 5θ

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Q: (a) Find the derivative of cos(1+x²).

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Q: (4) 3. Use implicit differentiation to find dy/dx of the following: x2 – 6xy + y3 = 24

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Q: 4. Find the indicated higher-order derivative of the given functions. d'y а. у %3D 8е* + sin x; dx7…

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Q: xsin (y) + ycos(x) = 1

A: To find the derivatives of the given functions.

Q: 3x-4 1. Y= Arctan 4

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Q: Can you help me with this problem step by step?

A: Given:

Q: 3. Find the derivative y'(x) implicitly. cos?x + cos²y = cos (2x + 2y)

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Q: Calculate the derivatives of the following functions.(a) y= 4x2 + 4(b) y = sin 3x+ 4 cos 2x(c) y =3x…

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Q: Find the derivatives of the functions defined as follows.

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Q: Find the derivative using the theorems on derivatives. dx x2-2 1 y = 2.y = (x? – 1)³(x² + 3)? x3+4x…

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Q: Find the derivatives of the functions y = 3/(5x2 + sin 2x)3/2

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Q: Find the third order derivative of y = In(cos(2x))". A. y' = -40sec²(2x)tan(2x) B. y' = -80sec…

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Q: 14. Consider the curve defined by x2y2 - 3x2 - 6y2 0. dy a. Use implicit differentiation to find :…

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Q: Determine the derivative of y=tan(cos-'(4x)) -1 A y'= 4x2/1- 16x2 - 4x B y'= V1- 16x2 c) None of the…

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Q: 2. In each case, find the derivative d. (a) z = x³ – y² and x(t) = cos 2t and y(t) = e-3t, (b) z =…

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Q: 2- find dy/dx e2x = sin (x + 4y) 3-find an equation for the line tangent to the graph f(x) = x –…

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Q: Can you help me with this problem step by step?

A: Differentiating implicitly with respect to x on both sides. Solving left hand side first.

Q: Find the first and second derivatives of the function  y = cos (x 2 )

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Q: Compute the derivative of the given function. f (x) 10x-1/4 cos e + 7 sin a %3D -

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Q: 2. Y= 2 Arccos (1-5+ V4x – x²

A: Let's find.